Limits and Continuity
- Introduction to limits
- Evaluating limits algebraically and graphically
- One-sided limits and infinite limits
- Continuity and discontinuity
- Intermediate Value Theorem
Differentiation: Definition and Basic Techniques
- Definition of the derivative
- Interpretation of the derivative as a rate of change
- Differentiation rules for polynomials, exponentials, logarithms, and trigonometric functions
- Implicit differentiation
- Related rates problems
Applications of Derivatives
- Analysis of graphs using derivatives
- Optimization problems
- Modeling rates of change
- Derivatives of inverse functions
- Linear approximation and differentials
Integration and Accumulation
- Antiderivatives and indefinite integrals
- Integration by substitution
- Definite integrals and areas under curves
- The Fundamental Theorem of Calculus
- Average value of a function
Applications of Integration
- Area between curves
- Volumes of solids of revolution
- Work, average value, and accumulation
- Differential equations and slope fields
- Applications to physics and economics
Exam Preparation
- Review of all topics covered in the course
- Practice with AP-style multiple-choice and free-response questions
- Test-taking strategies and time management tips

5d:T787,

Module 1: Introduction to Biology
- Scientific method and experimental design
- Basic chemistry for biology
- Cell structure and function
- Biomolecules: carbohydrates, lipids, proteins, nucleic acids
Module 2: Genetics and Molecular Biology
- DNA structure and replication
- Gene expression and regulation
- Mendelian genetics and inheritance patterns
- Genetic engineering and biotechnology
- An ethical analysis of genetic medicine, CRISPR, human enhancement, and transhumanism
Module 3: Evolution and Diversity
- Principles of evolution and natural selection
- Speciation and macroevolution
- Classification and phylogenetics
- Biodiversity and ecosystem dynamics
- The metaphysics of evolution - A catholic theological and philosophical perspective
Module 4: Cellular Processes
- Cellular respiration and energy metabolism
- Photosynthesis and plant biology
- Cell cycle and cell division
- Cell signaling and communication
- The ethics of stem cell research, IPPS cells, and cloning
Module 5: Ecology and Environmental Biology
- Population ecology and community interactions
- Ecosystem dynamics and energy flow
- Conservation biology and sustainability
- Human impact on ecosystems
- Stewardship of creation
Module 6: Applied Biology
- Biomedical applications of biology
- Ethical analysis of key issues in biomedicine
- Agricultural biotechnology and crop improvement
- Environmental biotechnology and bio-remediation
- Emerging fields in biology research

5e:T739,

Week 1: Introduction to Italian
- Greetings and introductions
- Pronunciation and phonetics
- Basic expressions and vocabulary
Week 2: Talking about Personal Information
- Nationalities and languages
- Numbers and counting
- Describing oneself and others
Week 3: Daily Life and Routines
- E

Fall	Winter	Spring
Calculus I	Calculus II	Calculus III – Multivariable Calculus
Biology	Physics I – Mechanics	Physics II – Electricity & Magnetism
Italian I	Philosophy I	Theology I

Mechanical Engineering